2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116605We obtain necessary conditions for the existence of complete vertical graphs of constant mean curvature in the Hyperbolic and Steady State spaces. In the two-dimensional case we prove Bernstein-type results in each of these ambient spaces.13 pagesDifferential Geometry53C42; 53B30; 53C50Complete Vertical Graphs with Constant Mean Curvature in Semi-Riemannian Warped Productstext